Base | Representation |
---|---|
bin | 1011110101111011000011… |
… | …0100000011110001011100 |
3 | 1201002210111201212112100010 |
4 | 2331132300310003301130 |
5 | 3201314013122424012 |
6 | 43405434231203220 |
7 | 2512510552322610 |
oct | 275366064036134 |
9 | 51083451775303 |
10 | 13021012311132 |
11 | 41701a8aa1091 |
12 | 1563686816510 |
13 | 735b50cc0a07 |
14 | 330312941340 |
15 | 178a8e216c3c |
hex | bd7b0d03c5c |
13021012311132 has 192 divisors, whose sum is σ = 36679396884480. Its totient is φ = 3512040747264.
The previous prime is 13021012311119. The next prime is 13021012311179. The reversal of 13021012311132 is 23111321012031.
It is a super-2 number, since 2×130210123111322 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 13021012311099 and 13021012311108.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 959749413 + ... + 959762979.
It is an arithmetic number, because the mean of its divisors is an integer number (191038525440).
Almost surely, 213021012311132 is an apocalyptic number.
13021012311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13021012311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339698442240).
13021012311132 is an abundant number, since it is smaller than the sum of its proper divisors (23658384573348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13021012311132 is a wasteful number, since it uses less digits than its factorization.
13021012311132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15680 (or 15678 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 21.
Adding to 13021012311132 its reverse (23111321012031), we get a palindrome (36132333323163).
The spelling of 13021012311132 in words is "thirteen trillion, twenty-one billion, twelve million, three hundred eleven thousand, one hundred thirty-two".
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